Details

Time bar (total: 12.5s)

sample38.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12217
23317
35817
48317
59317
611517
714317
817517
939217
10119417
11465217
done500117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
14.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*l/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 77
Calls
4 calls:
42.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
11.0ms
(+ 0.99229 (* x 0.04481))
29.0ms
(* (+ 0.99229 (* x 0.04481)) x)
25.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series382.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
50.0ms
(+ 0.99229 (* x 0.04481))
107.0ms
(* (+ 0.99229 (* x 0.04481)) x)
90.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.4s

Counts
89 → 89
Iterations

Useful iterations: 2 (369.0ms)

IterNodesCost
01701668
14281584
219961478
done50021478

prune345.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
1.0b
(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.1b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×div-exp associate-*l/ associate-/r/ unswap-sqr
3×associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down *-commutative div-inv
1×sub-neg flip3-- pow-flip frac-2neg diff-log associate-*r/ clear-num un-div-inv flip-- inv-pow
Counts
4 → 107
Calls
4 calls:
11.0ms
(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
33.0ms
(* (+ 0.99229 (* x 0.04481)) x)
10.0ms
(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
38.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
120.0ms
(* (+ 0.99229 (* x 0.04481)) x)
67.0ms
(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
86.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify1.9s

Counts
119 → 119
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02152320
15912143
231951866
done50001864

prune333.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (+ (* x 0.27061) 2.30753) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (cbrt 1) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
0.2b
(/ (cbrt 1) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
14.3b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.3b
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
142×add-sqr-sqrt
122×times-frac
78×*-un-lft-identity
72×add-cube-cbrt
70×sqrt-prod
51×cbrt-prod
42×associate-*r*
24×associate-*l*
21×unswap-sqr
18×add-exp-log
15×add-cbrt-cube
10×sqrt-div
8×pow1
6×associate-/r* associate-/r/ associate-/l*
5×cbrt-undiv flip3-+ div-exp flip-+
4×prod-exp cbrt-unprod add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 199
Calls
4 calls:
84.0ms
(* (/ (+ (* x 0.27061) 2.30753) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (cbrt 1) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
17.0ms
(/ (cbrt 1) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series407.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (/ (+ (* x 0.27061) 2.30753) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (/ (cbrt 1) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
138.0ms
(/ (cbrt 1) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
90.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
114.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify549.0ms

Counts
211 → 211
Iterations

Useful iterations: done (538.0ms)

IterNodesCost
02876819
18395948
done50005476

prune712.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01619
12519
done2519

end0.0ms

sample1.1s

Algorithm
intervals
Results
903.0ms8000×body80valid